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Maldacena has used the ADM Formalism in one of his papers (http://arxiv.org/abs/astro-ph/0210603) in computing the the three point correlation function (i.e the non-Gaussianity) parameter for primordial cosmological perturbations. Can somebody explain in some more detail the relevant parts of the ADM formalism needed to do understand this calculation?

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Can you be more specific? What are you hoping to find here that you couldn't get by searching Google for "ADM formalism"? As it is, this question is pretty vague. –  David Z Apr 13 '11 at 6:17
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Question with a huge overlap, if not an exact duplicate physics.stackexchange.com/questions/3445/… –  dbrane Apr 13 '11 at 15:34
    
I mentioned about the paper of Maldacena in my question. (arxiv.org/abs/astro-ph/0210603). I need to know ADM Formalism so that I can understand whatever is said there. A results given by a simple Google search on ADM is not good enough. Either they are not enough (somewhat qualitative) or they are too difficult and assumes a lot. –  Debangshu Apr 13 '11 at 20:12
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Pretty much any standard advanced GR textbook has a chapter on ADM. –  Michael Brown May 3 '13 at 4:44
    
Hi @Debangshu, if you want to understand Maldacena's calculation of these three point correlation functions, you should edit your question (or ask a new one) to primarly ask about this. It might well be that an answerer points you to some relevant reading material about the ADM formalism anyway. Good look ;-). –  Dilaton May 6 '13 at 9:48
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